Difference between revisions of "Relationship between tangent, Gudermannian, and sinh"

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Revision as of 22:54, 25 August 2015

Theorem: The following formula holds: $$\tan(\mathrm{gd}(x))=\sinh(x),$$ where $\tan$ denotes the tangent, $\mathrm{gd}$ denotes the Gudermannian, and $\sinh$ denotes the hyperbolic sine.

Proof: